THEORIA
OMNIA
The
Fundamental Mathematics and Physics of the Universe
Michael
J. Bull
2013
Word Count 13014
Contents
Introduction
The
Fundamental Quantities - Table 1
Notes
on Table 1
Development
of the Universe
Mass
and Gravity
Time
The
Constants
The
Derivation of Frequency Constants
The
Fundamental Particles – Table 2
Anti-Matter
The
Speed of Light
Life
Experimental
Action and Supporting Evidence
- Table 3
Notes
on Table 3
Appendix 1 – Supporting
Evidence
Derivation
of Space-Time Units from SI Units
Appendix 2 – Supporting
Evidence
List
of Space-Time Units
Congruence
of Newtonian Physics and Space-Time Units
Proof of the nature of Mass by
its measure in Space-Time Units
Summation
of the Effects of the Theoria Omnia Model and of Human Nature
Introduction
The
search for the 'Theory of Everything' continues. The over-arching
concept of the universe which ties together the rather fractured
array of theories, complex mathematics, constants, related and
unrelated ideas, may come from relatively simple mathematical
principles which often can point the way, before physical science
arrives at the theories necessary to explain that which is observed,
and frame laws to cover every case, without exception. The concept of
the inter-action of space and time as a basis of what we observe is
not new. The concept of how both of these fundamentals have
progressed from the birth of the universe to show that which can now
be observed, and how the mathematics can clearly represent that
process of expansion, is new, and is the subject of this paper. An
understanding of the principles governing all of the universe may
assist in forming new, or modifying existing theories to explain
every case.
This
paper is presented in a form as brief as the author is able to
present, consistent with conveying an understanding of its contents
at a level which most with a basic grounding in physics can
understand. The mathematics are simple and concise but also the
foundation of significant evidence to support the reality of the
physics of the cosmos.
The
road to the advance of scientific knowledge is to
know what it is that is not known.
If that is known then science can advance in the direction that that
knowledge leads rather than in a random and directionless lucky dip
of discovery, debate and disagreement which takes much longer to
intertpret and advance. That is why the 'Theory of Everthing' is
important to pursue.
Table
1
The
space-time interactions are represented from the X and Y axes of
Table 1 below, and the process of the expansion of the universe by
the increasing power indices of the s
(space) and t (time)
fundaments along the axes. The second mathematical operator on both
axes is the inverse (reciprocal) of both s
and t at their
various power indices. The order in which these are presented is
strongly supported by knowledge of some of the physical quantities or
energies represented and expressed in space-time units of measure,
which measures consistently agree with the more commonly used SI
units. The consequences of the above order include areas which are
either a product or a
ratio of space and
time. Explanations of the different effects that these mathematical
operators have upon the reality of the universe are offered following
the Table 1.
Table 1
M.J.Bull
2013
0
|
s0
|
s1
|
s2
|
s3
|
s4
|
1/s
|
1/s2
|
1/s3
|
1/s4
|
t 0
|
s 0
t 0
singularity
BIG
BANG
|
s
length,
electric
quantity
(C)
|
s 2
area,
magnetic
quantity
(W/m2)
|
s 3
volume,
mass
quantity (kg)
|
s 4
?
|
1/s
power (elec.mag.
mass)
|
1/s2
?
|
1/s3
?
|
1/s4
?
|
t1
|
t
time
|
t s
up
quark
|
t s2
charm
quark
|
t s3
top
quark
|
t s4
gluon
|
t/s
energy,
work,
electric charge
|
t/s2
force,
electric
potential, emf
(Velec
)
|
t/s3
elect field
intensity
(E)
|
t/s4
pressure
|
t2
|
t 2
?
|
t 2
s
down
quark
|
t 2s2
strange
quark
|
t 2s3
bottom
quark
|
t 2s4
photon
|
t 2/s
inertia
|
t 2/s
2
momentum,
magnetic charge,
electrical
resistivity (ρ)
|
t 2/s
3
electric
resistance (R),
magnetic
potential, mmf
(Vmag
)
|
t 2/s
4
magnetic
field
intensity (H)
|
t3
|
t 3
?
|
t 3s
electron
|
t 3s2
muon
|
t 3s3
tau
|
t 3s4
Z-boson
|
t 3/s
moment of inertia
|
t 3/s2
?
|
t 3/s3
mass
charge
|
t 3/s4
magnetic
resistance
(μ),
mass potential, massmf
(Vmass)
|
t4
|
t
4
?
|
t 4s
electron
nutrino
|
t 4s2
muon
nutrino
|
t 4s3
tau
nutrino
|
t 4s4
W-boson
|
t 4/s
?
|
t 4/s2
?
|
t 4/s3
?
|
t 4/s4
life charge
(?)
|
1/t
|
1/t
frequency
1
freedom
υ
|
s/t
speed,
elec.current
Ielec,
Efield
|
s 2/t
Hawking
radiation
(RH)
(?)
|
s 3/t
?
|
s 4/t
?
|
1/ ts
|
1/ ts2
|
1/ ts3
|
1/ ts4
|
1/t2
|
1/t2
frequency
2
freedom
(?)
|
s/t2
Δ
speed,
acceleration
KE
= Eυ
9.487
x 1033
|
s 2/t2
magnetic
current
Imag,
Bfield
electrical
concuctivity (σ)
|
s 3/t2
?
|
s 4/t2
?
|
1/ t2s
|
1/ t2s2
|
1/ t2s3
|
1/ t2s4
|
1/t3
|
1/t3
frequency
3
freedom
(?)
|
s/t3
Δ
accel.,
|
s 2/t3
KB
= Bυ
2.846
x1042
|
s 3/t3
gravity
mass
current
Imass,
gfield
|
s 4/t3
?
|
1/ t3s
positron
|
1/ t3s2
|
1/ t3s3
|
1/ t3s4
|
1/t4
|
1/t4
?
|
s/t4
?
|
s 2/t4
?
|
s 3/t4
Kg
= gυ
8.538
x 1050
|
s 4/t4
consciousness
life current
(Ilife)
(?)
|
1/ t4s
|
1/ t4s2
|
1/ t4s3
|
1/ t4s4
|
There is much information in this
Table which can be scientifically or mathematically proven beyond
reasonable doubt, such as the
correlation between SI units and S-T units (space-time units) for the
various known quantities.
There is also much information in
Table 1, such as that regarding the fundamental particles, which
cannot at this point be proven. These inclusions are based upon an
intuitive logic presented by the direction of the mathematics as a
whole, rather than by the parts, but is not a rigorous proof.
Mathematics direct attention in a particular direction, but it
remains for science to test the validity of the mathematics with the
observed physics. This has often been the case in an historical
sense.
Notes
on Table 1
Development
of the Universe
Everything that physically exists is a function two fundamentals,
space and time. There is strong evidence for this from the analysis
of physical quantities of which we are aware, which can all be
converted to units of measurement which can be expressed as space and
time. Refer to the later discussion in this paper under Appendices 1
and 2. Max Planck was the first to prove this to be so, and his work
has never been found to be incorrect. For example, speed = distance
(space
in 1 freedom)
divided by time. All other quantities, including electrical,
magnetic, mass and gravity can be similarly defined, as a function of
space and time. These have been noted in Table 1 according to their
space-time equivalent units of measure. Clearly, there is more to be
discovered as our knowledge and interpretive ability advances, as
indicated by the queries (?) in the Table. The known quantities
expressed in S-T units provide the framework for the deduction of the
units expressed on the X and Y axes of Table 1. The units of X and Y
thus deduced are consistent with an expanding universe, already
accepted by mainstream science from other evidence.
(1)
Following the expansion of space and
time from the singularity, known as the 'big bang', the universe
appears to have developed in two separate ways (from a mathematical
perspective), of space and time interaction.
(a)
Firstly, the fundamental particles, which in various combinations
constitute all of the atomic particles, are the mathematical product
of space and time, that is, tn
sm.
Also to note is that the fundamental particles are contained within
the boundaries of the visible universe (in Table 1 coloured in pale
yellow). The anti-matter particles have two boundaries adjoining the
visible universe and two boundaries which do not.
The
Gauge Bosons have in common
s4.
(red)
The
Leptons have in common t3
and
t4.
(green)
The
Quarks have in common t
and t2.
(blue)
The
differences in the particle s
and t
powers accord with their differences in the Standard Model theory of
particle physics. It
is not clear where the recently found Higgs boson fits into this
model, or if in fact its interpretation is correctly based within the
group of fundamental particles, although recent reports from the CERN
LHC work suggest so. Mass and Gravity belong in the t/s
and s/t ratio regions
respectively.
This may be the clue as to why gravity cannot be made to fit into the
st
product
region of the Standard Model of particle physics, the major
significant anomaly which the Standard
Model of
particle physics
fails
to address.
Table 1 makes the reason clear, it is because gravity does not
originate from particle physics, st,
but from the physics of fields, s/t,
in the energy field area of the visible universe. There is further
consideration of the fundamental particles below.
(b)
Secondly, the observable phenomena of the visible universe are
constituted from a mathematical ratio
of space and time, that is,
tn
/ sm
or its reciprocal. The section of the visible universe defined by t/s
contains mass, while the section
defined by s/t contains gravity. These two phenomena are reciprocal
and when multiplied equal 1. In SI units, mg
= 1.
The mathematics indicate this to
be the case for all of the equivalent elements for t/s and s/t. It
is noted that at present less is understood about the s/t or gravity
sector than the t/s or mass sector. Most of mainstream science has
yet to understand the nature of mass and gravity and their
relationship to each other. The fundamental space-time measurement
units of known quantities clarify their true nature and relationship
to each other. Max Planck first pointed out that our units of measure
are mostly contrived and he proposed measurement based on the physics
of free space, which still stand as valid. The units of space-time
used above are easily and consistently verifiable from simple SI
units, including that of mass and gravity, and give greater clarity
to the understanding of various phenomena, while correcting
misconceptions still part of modern physics. A good example of this
clarification is that which S-T units provide in the case of
electro-magnetism.
They show that magnetism is a 2 freedom analogue of electricity. They
are both observed when electric charge moves through matter
possessing mass (a conductor) so as to oppose one of the three
degrees of freedom of scalar motion which mass posseses. Electric
charge is a unit of space (s), and space moving through mass is
mathematically the same as mass moving through space (which is what
motion in an electric generator is). The magnetic effects are seen in
the other degree of freedom at right angles to the electric current
freedom. The motion ┴
electric current ┴
magnetic current. In S-T units t3/s3
(mass) = t2/s2
(magnetism) x t/s (electricity).
There is no explanation of this
common phenomenum in mainstream physics.
It is the use of space-time units which clarify the process of
electricity generation and the origin and nature of magnetism.
(2)
The difference in the mathematics
between the fundamental particles and the visible universe may point
to an explanation for the baffling difference in the behaviour of
Quantum physics and Newtonian or Einsteinian physics. The
fundamental difference may be that of st
and s/t.
One is the physics of matter while the other is the physics of
energy. The photon and electron are familiar st
particles interacting with the s/t
universe as carriers of energy (not as energy) between separated
space-times, and the function of some of the other particles has yet
to be found beyond their effect on each other as noted by the
Standard Model.
It
is interesting to note that some of our known quantities, such as
pressure or magnetic permeability (magnetic resistance) for example,
have four space freedoms. We cannot envisage that, but like those of
time which we cannot imagine, they are real.
Mass
and Gravity
(3) Mass
(t3/s3)
is a three freedom scalar motion, a three freedom analogue of energy
(t/s), and is carried by most matter, in a similar way that electric
charge is carried by some matter. Gravity(s3/t3)
is a three freedom field caused by mass current, a similar analogue
of the electric field. (Magnetism is the exact equivalent in a two
freedom analogue.) There is a reciprocity between Mass and Gravity
that is mathematically represented by mg = 1. That reciprocity is
evidenced by the S-T units of both, which when multiplied equal 1,
(t3/s3
. s3/t3
= 1). The corollary to this
simple equation is that if mass approaches infinity then gravity
approaches zero and vice versa. In a region of large mass, such as
the centre of the galaxy or a black hole, the acceleration (field)
applied to the matter is increased and at the same time the gravity
(field) is reduced. If one looks at the space-time units, gravity is
s3/t3,
and acceleration is s/t2.
If the s/t2
(acceleration) is elevated then the residual is s2/t,
(which combined make s3/t3
gravity) is also elevated. The unit s2/t
does not have its own identity, but is the reciprocal of force
(t/s2).
The unit s2/t
is possibly that which is known as Hawking radiation, which emanates
from within a 'black hole' into space, and is observable. If both
acceleration and Hawking radiation are elevated, then gravity is
reduced by those amounts in that region of high mass. The equation mg
= 1 holds as valid. The reason it seems to be counter intuitive is
that of the
misconception that gravity and acceleration are the same thing.
In SI units, acceleration is measured in N/kg or m/s2,
gravity is measured in kg-1.
The acceleration unit N/kg can be written N.kg-1
which is Force x Gravity. In Newtonian physics, F = ma and also F =
a/g from the reciprocal relationship between mass and gravity. It
follows then that g = a/F, (or acceleration x Hawking radiation)
which expressed in space-time units is s3/t3
= s/t2
divided by t/s2
= s3/t3
, confirming the validity of the equation mg
= 1,
and that gravity and acceleration are not
the same quantity. Similarly,
matter (ts) and mass (t3/s3)
are not the same quantity.
Matter generally exhibits mass (charge), but in the same way that it
exhibits electric charge or magnetic charge.
Mass
charge is a three freedom analogue of electric charge. The
distinctions are probably important to comprehension in other areas
such as that of the Higgs boson, but are fundamental in understanding
mass and gravity.
Mass,
like charge, is a scalar motion.
(4)
The inverse
scenario is a region with a very small quantity of mass,(which would
normally also mean a relative absence of matter). In this region of
space-time the equation mg = 1 indicates that gravity is high. As
t3/s3
(mass) is small, then s3/t3
(gravity) is large because their product equals 1. This is likely the
reason that regions of so called 'dark matter' have a high input to
gravitational effects in the cosmos. The dark matter will likely be
found not to exist at all because it is not matter which generates
gravity. It is, in fact, the relative absence of mass which elevates
gravity. Dark
matter and dark energy are likely to be identified as man made
inventions to explain a deficit in comprehension of the true nature
of mass and gravity.
Mass (the charge) generates acceleration of matter
(except nutrinos) from the energy of the mass (gravity) field, always
in the direction of the centre of the masses (mass equivalent of a
magnetic pole), which accelerations are then equal and opposite when
the magnitude of the masses are taken into consideration. Mass is a 3
freedom energy which attaches to matter, much as electric charge
attaches to an electron. Newton's equation for the force of gravity,
F = Gmm'/r2
is not a fundamental
space-time equation.
As
D.B.Larsen explained -
“ The
only dimensional discrepancy in the basic equations of the mechanical
system is in the
gravitational
force equation, which is expressed as F
= Gmm'/r2
, where G
is the gravitational constant and r
is the distance between the interacting masses. Although this
equation is correct mathematically, it cannot qualify as a
theoretically established relation. As one physics textbook puts it,
this equation “is not a defining equation... and cannot be derived
from defining equations. It represents an observed relationship.”
The reason for this inability to arrive at a theoretical explanation
of the equation becomes apparent when we examine it from a
dimensional standpoint. The dimensions of force in general are those
of the product of mass and acceleration. It follows that these must
also be the dimensions of any specific force. For instance, the
gravitational force acting on an object in the earth’s
gravitational field is the product of the mass and the “acceleration
due to gravity.” These same dimensions must likewise apply to the
gravitational force in general. When we look at the gravitational
equation in this light, it becomes evident that the gravitational
constant represents the magnitude of the acceleration at unit values
of m'
and r,
and that these quantities are dimensionless ratios. The dimensionally
correct expression of the gravitational equation is then
F
= ma,
where the numerical value of a
is
Gm'/r2
.”
Time
(5)
Time is a more
difficult quantity to envisage than is space. It is not difficult to
understand the concept of length, width and depth with space because
they are visible to us. To use an analogy, it is difficult for a
camera to discern depth when it needs to see it in two space
dimensions when there are three. The only way the camera can
accomplish this is to reduce the length and width of the
object
to keep its two dimensional perspective relative to its surroundings.
A movie camera introduces the element of time into the picture, by
capturing the change in the two spatial freedoms over a series of
frames, which when run at speed, give a fair approximation of our
view of reality. In the case of time, which we cannot envisage at
all, it is difficult to accept that it also has dimensions equivalent
to space, at least in a mathematical sense. The evidence for this
lies in the space-time units which measure quantities which we can
see, feel and understand. For example, acceleration has one space
dimension and two time dimensions, s/t2,
but we have no difficulty comprehending acceleration. The t2
part on its own leaves a comprehension deficit. The
reciprocal of Time, 1/t, is a more easily comprehended concept, as
frequency.
A
study of Table 1 indicates that time is an energetic fundamental. In
the Mass t/s section of the Table, it can be seen that the t
is the numerator in the ratio. The energy content rises as the power
of t
rises. Mass charge, t3/s3,
is more energetic than magnetic charge, t2/s2,
which in turn is more energetic than electric charge, t/s. The
variation in energy between each is denoted by the constant, c,
which is a large number (3 x 108).
The energy level between each of these is mc
and between mass charge (energy) and electric charge (energy) it is
mc2
as Einstein famously pointed out. On the other hand in the Gravity
s/t section, t
is the denominator, so that equivalent progression between electric
current (field) through magnetic current (field) to mass current
(gravitation field) shows a large reduction in field strength per
unit volume. This variation in field energies could be denoted by
the constant 1/c
or 1/c2
as the case may be. These
observations give some concept of the energy that time has, without
a need to visualize time itself, and some insight into the other side
(s/t) of Einstein's (t/s) energy equation E = mc2.
Of interest is the observation
that the weaker the field per unit volume, the larger is its range
over which it has an effect. At one end of the scale is the strong
nuclear force which range is measured in intra nuclear distances, and
at the other end of the scale, gravity with a range extending into
distances measured in light years. This may be a pointer to an
unknown energy conservation principle related to volume.
The
Constants
(6)
The fundamental constants which Planck proposed are based upon the
physics of free space rather than any contrived unit of measure are:
Name
Symbol
Value
SI
unit
Space-Time
unit
Planck
constant h 1.054 x 10-34
J.s t2/s
(inertia)
Coulomb
constant ke
1.054 x 109
kg m3
s-2
C-2
t/s2
(voltage, force)
Boltzmann's
constant kB
1.380 x 10-23
J K-1
t/s (elec.chg,energy)
Speed
of light c 2.997 x 108
m/s s/t (speed)
Gravitational
constant G 6.67 x 10-11
m3
kg-1
s-2
s6/t5
(
makes
no sense)
(a)
The Planck constant,
is known as the 'quantum of action'
which means that it is the smallest quantity of (vectorial) motion
which can be applied to a mass. There is no further division of that
'action' into smaller parts, which is what the word 'quantum'
implies. The space-time unit for h
is
t2/s,
which is the unit for inertia
and at magnitude 10-34
is extremely small and at the level affecting fundamental particles.
The Planck constant links Energy to Frequency, (E = hυ),
in S-T units t/s = t2/s
x 1/t = t/s ; Frequency to the Speed of light, (υ
= c/λ)
in S-T units 1/t = s/t x 1/s = 1/t ; Wavelength to Momentum, ( λ
= h/p) in S-T units s = t2/s
/ t2/s2
= t2/s
x s2/t2
= s. The S-T units are again entirely consistent with the SI units.
(b)
The
Coulomb constant
is the 'quantum
voltage'
which applies between charges on fundamental particles such as the
electron or positron. (The electron can exist without an electric
charge, s, within a conductor and in that case may carry magnetic
charge, s2.)
The charge can exist without the electron when it is a 'static'
charge, perhaps attached to an atom, which does not move through the
conductor. Synthetic clothing is a good example. Charge is described
as a 'scalar motion' which can attach to a particle. It is the charge
'motion' which moves through a conductor as a current rather than
the particle. An electron cannot 'escape' from a conductor unless it
carries a charge, which enables it to move through space. The charge
gives the electron the ability to move through space either within or
from a conductor. The space-time unit for C
is t/s2
which is volts.
(c)
The
Boltzmann constant
relates to the laws of thermodynamics, and is the 'quantum
energy'
relating to the motion of atoms and molecules which is manifested as
heat, or temperature in degrees Kelvin. The space-time unit for kB
is
t/s which is energy.
(d)
The
Speed of Light
is the maximum limit to velocity which can be achieved by a particle
possessing mass or momentum. It is the constant which relates mass to
its energy equivalent. The constant c
has the space-time unit s/t which is speed.
For further observations on c
refer below.
(e)
The
Gravitational constant
relates the acceleration between two masses which is powered by the
gravitational field. It is calculated from scientific observation and
applies not as a fundamental quantity. The fundamental underlying
equation is F = ma, where the 'a' equals Gm'/r2.
G relates the observed results to the fundamental equation. G
has
no space-time units which
make sense.
Three
of these constants define 'quantum quantities' which means the
smallest possible amount ( h, C, kB)
The fourth defines the maximum limit (c). The only anomaly in
Planck's five constants is G
which probably does not belong there. That error arises from
science's long history of misconception of the nature of gravity. It
may be more appropriate to instead include the quantum
of matter
which,
from Table 1 is 'ts'
(= st) or what is presently known as the 'up-quark', if Table 1 has
correctly identified the 'ts' particle. This has yet to be confirmed.
The Derivation of Frequency Constants
The
above discussion of the Constants and the quantum physics equations,
much of which can be credited to Max Planck's work, open further
consideration of the electro-magnetic-gravity relationship and where
they belong in the electromagnetic radiation spectrum. As far as is
known by this author, there has not been a consideration that these
fields may have a frequency. The highest known frequencies are
associated with gamma radiation, which is of the order of 1025
Hz. The current electro-magnetic spectrum does not look beyond gamma
radiation.
The
equations relevant are Energy
= mc2,
E = hυ,
υ
= c/λ
and λ
= h/ρ.
The Space-Time (S-T) units (Table 1) can be used to confirm the
validity of the equations used to calculate the Frequency Constants.
The three fields compared are the electric (E) field, the magnetic
(B) field and the gravity (g) field.
E
field
B
field
g
field
Equation
Efield
= 1/mc2
Bfield
= 1/mc gfield
= 1/m
=
1/hυ = c/hυ
= c2/hυ
S-T
unit
s/t = (t3/s3
x s2/t2)-1
= s/t s2/t2
= (t3/s3
x s/t)-1
= s2/t2
s3/t3
= (t3/s3)-1
= s3/t3
equations
check
= (t2/s
x 1/t)-1
= s/t = s/t (t2/s
x 1/t)-1
= s2/t2
= s2/t2(t2/s
1/t)-1
= s3/t3
All correct
Sub.
value for h,c
E = 1/hυ
= 1/1.054x10-34υ
B = c/hυ
= 3x108/1.054x10-34υ
g= c2/hυ
= 9x1016/1.054x10-34υ
Eυ
= 9.487x1033
=
KE
Bυ
= 2.846 x1042
= KB
gυ
= 8.538 x 1050
=
Kg
The constants allow the calculation of the frequency and
wavelength of, for example the gravitational fields of the Earth and
the Sun, which vary with the gravitational field strength.
Freq'cy
υg
earth
= Kg
/gearth
= 8.538x1050/
9.8 = 8.712x1049Hz
and Wavelength λg
earth
= 3.443x10-42
m.
υg
sun
= Kg
/gsun
= 8.538x1050/
274 = 3.116x1048Hz
and wavelength λg
sun
= 9.646x10-41
m.
The
mathematics indicate that the smaller the acceleration of matter
through the gravity field, the higher the frequency of the gravity
field, and therefore the higher the energy of the gravity field. This
counter-intuitive result supports the validity of the equation mg =
1.
It is a high mass charge which increases matter acceleration, not a
high gravity field value. The
constant Kg
underlies a (variable) gravitation frequency many orders of magnitude
higher than gamma radiation. This may help explain the large reach of
the gravity field compared to the other fields, given also that the
gravity field is scalar motion (speed, s/t) in three degrees of
freedom, the x, y and z axes. These do not denote a position in
space, but denote an orientation relationship between the axes
relative to each other.
The Fundamental Particles
(7)
The
fundamental particles are apparently linked with the mathematics of
space-time. The table below is a more detailed version of an
extraction of the areas coloured in blue in Table 1 above. The S-T
units align well with the Standard Model of particle physics.
Table 2
MATTER
Gen 1
electric quantity (s)
|
Gen
2
magnetic
quantity (s2)
|
Gen 3
mass
quantity (s3)
|
Gen4
force
carriers (s4)
|
|
t
s
up
quark
(u)x3
strong
|
t
s2
charm
quark
(c)x3
nuclear
|
t
s3
top
quark
(t)x3
force
|
t
s4
gluon
(g)
red
x
4
|
Type
1
(t)
|
t
2 s
down
quark
(d)x3
strong
|
t
2s2
strange
quark
(s)x3
nuclear
|
t
2s3
bottom
quark
(b)x3
force
|
t
2s4
photon
(γ)
mag.chrg
momentum
|
Type
2
(t2)
|
t
3s
electron
(e)
elect.chrg
|
t
3s2
muon
(μ)
mag.chrg
|
t
3s3
tau
(τ)
mass.chrg
|
t
3s4
Z-boson
(Z)
weak
n.f.
|
Type
3
(t3)
|
t
4s
electron
nutrino
(υe)
|
t
4s2
muon
nutrino
(υμ)
|
t
4s3
tau
nutrino
(υτ)
|
t
4s4
W-boson
(W
+ -)
weak
n.f.
|
Type
4
(t4)
|
Higgs
Boson H ?
-
1/ tsanti up qk(1/u)x31/ ts2anti char qk(1/c)x31/ ts3anti top qk(1/t)x31/ ts4gluon(g) greenx 41/ t2santi dn qk(1/d)x31/ t2s2anti str qk(1/s)x31/ t2s3anti btm qk(1/b)x31/ t2s4photon( 1/γ = γ)1/ t3spositron(1/e)1/ t3s2anti muon(1/μ)1/ t3s3anti tau(1/τ)1/ t3s4Z boson(1/Z =Z)1/ t4santi el.nutr(1/υe)1/ t4s2anti mu.nutr(1/υμ)1/ t4s3anti tau nutr(1/υτ)1/ t4s4anti W bos.( W - +)
ANTI-MATTER
The
multiples of particle numbers are not clear in Table 2 as a result of
the difficulty in representing the 'three colour charges' in the
quarks connected with the strong nuclear force. There are 36 quarks
(blue), 12 leptons (green), 8 gluons (red), 2 W bosons (red), 1 Z
boson (red), 1 photon and 1 Higgs boson, total 61 sub-atomic
particles in the Standard Model. The point made apparent from Table 2
is the correlation in the vertical columns of the Matter section
labelled Gen 1,2,3 corresponding to the Generation classification in
the Standard Model, which highlight the similarity with the scalar
motions which differentiate electric, magnetic and mass energies,
while Gen 4 could be seen as having an equivalence with the t4/s4
, an additional degree of freedom and energy above mass, as proposed
in section (10) on life, mass carrying additional energy.
An
idea worth further thought is that the wave form of the fundamental
particles are sourced in time-space, the mathematical reciprocal of
space-time, wherby motion is through time rather than through space.
Such a possibility would help explain the quantum physics puzzles,
where a particle has multiple statistical spatial possibilities
rather than a sharply focussed place in a spacial location, making it
difficult to observe and measure in space-time, from where we make
our observations. The wave domain may belong in time-space and the
particle domain in space-time. There is nothing apparent in the
mathematics of Table 1 which determines that interpretation as not
possible. The challenge that this possibility presents to mathematics
is that st ≠
ts . If 's' is known, then 't' is not and if 't' is known then 's' is
not.
Anti-matter
(8)
From the mathematical considerations in Table 1, it is not
immediately clear as to how to move from the mathematics of ratio
(t/s and s/t), to the mathematics of product
(ts [=st]) or vice versa. The product and ratio quantities are
clearly linked, from observation of the physics of every-day life.
For example, photons emanating from the sun will heat up the matter
on Earth which is exposed to them. The mathematical link is therefore
essential to support what is observed to be correct with the theory
which underlies it. That link occurs through the region of
anti-matter. From Table 1, if power (1/s) is multiplied by frequency
(1/t) the result is 1/ts. That quantity (1/ts) is the anti-particle
of the up-quark (ts). It appears that the reciprocal values of space
and time together combine to form anti-matter. Anti-matter then forms
the link between the space-time ratios and space-time products which
make up the universe. Anti-matter multiplied by equivalent matter
equals 1, which unity is mathematically similar to the relationship
between the two ratios t/s and s/t. Anti-matter completes the
mathematical congruity of this model of the universe.
The
Speed of Light (c)
(9)
Light speed, c,
is a both a scalar speed of one degree of freedom (s/t) and a
vectorial velocity of one degree of freedom. (Note that these
'degrees of freedom' represent scalar motions, not vectorial motions.
Vectorial motions have only one degree of freedom). Current
scientific notation does not normally distinguish between scalar and
vectorial quantities, so that there may be misconception surrounding
the differences, leading to errors and false assumptions. Examples
are the misunderstanding of the difference between gravity and
acceleration, and the misunderstanding of the difference between mass
and matter. Both have led to further problems with comprehension in
physics.
In
the case of c,
the scalar quality is most likely to be the version which is the link
between energy and mass, as the constant in the famous E = mc2.
The vectorial quality of c
can be seen to be affected by a change in the gravitational field
strength, which makes it behave more as a speeding particle would be
expected to behave. The velocity of the vectorial quality varies with
the medium through which it travels, while the scalar degree of
freedom probably has no relation to that, although they have the same
S-T unit. Those two qualities of light may require further scrutiny,
as does the convention on scientific notation, which fails to
distinguish between the co-ordinate axes representing scalar motion
and the co-ordinate axes representing a position in space.
It
is possible that the light particle, believed to be the photon,
appears to have momentum but no mass, as evidenced by the function of
a 'space sail' achieving motion from light. This suggests that the
photon carries a 2 freedom energy, that of momentum, which is in S-T
units dimensionally the same as magnetic charge, t2/s2.
The implication is that the photon is the particle which carries
magnetic charge, which hypothesis is supported by the phenomenum of
the photo-electric effect. It is apparently a case of magnetic space
(s2),
passing through mass t3/s3,
leaving the residual electric energy (t/s) as the result of space
(s2)
opposing two of mass's three degrees of freedom.
Life
(10)
It seems appropriate, (if controversial,) to include the possibility
that life is also a legitimate and ubiquitous part of the universe
and has a place in the considerations of the 'Theory of Everything',
the multitude of 'beliefs' notwithstanding. The tentative placement
of life at the t/s ratio position of t4/s4
implies an additional scalar motion, that of energy (t/s) applied to
mass, that is life = mass x energy, ( t4/s4
= t3/s3
. t/s). These mathematics imply that life has an additional degree of
freedom (4) when compared with mass (3), and also that life's
inherent energy equivalent is mc3
if Einstein's logic is carried past mass.
The
other part of life, that of the intangible working of mind or
'consciousness', has its theoretical position in the s/t ratio area,
again with an additional degree of freedom above that of gravity, at
s4/t4
which is also reciprocal to the physical part of life, t4/s4
as discussed above. The implication of the mathematics is that life x
consciousness = unity, which makes the organism whole, still an
analogue of t/s and s/t as discussed above for the lower power
indices. Similarly, the mathematical implication is that the
'consciousness field' is weaker per unit volume than the other fields
but if consistent with the other fields, ranges across a larger
volume than do the others. This view is not without parallel in the
disciplines of philosophy and psychology, therein sometimes described
as 'the spark of life' and 'the meeting of minds'. Another
implication of the mathematics is that all life is connected with all
other life, just as all mass is connected with all other mass via its
reciprocal field, in the case of mass by the gravity field and in the
case of life by the consciousness field. There is ample evidence
every day to support the connection between life of different
species, and between the same species on Earth. No-one likes to see
their kitty run over, or their child either.
The proposed mathematical congruity between life and the
rest of the physics of the universe imply that life is a part of the
universe rather than an exception to it, suggesting that it should be
expected at some point to encounter life from other places. That may
change the perspective that homo sapiens has of its own species and
those other species which share the planet Earth. Communication via
the 'consciousness field' may be a possibilty both intra and ex
planet.
Another
interesting question is why matter loses its fourth energy freedom
after a defined passage of time and results in 'death', or a return
of the physical state of life back to the state of mass. That there
is a difference between mass and life can hardly be denied. The
fourth degree of freedom may differ in its behaviour from the other
space-time ratios, including the possibility that, perhaps like
quantum waves, it may be sourced from time-space. The fourth energy
freedom may not move through 'observable' space-time and may equate
to the wave form moving through time-space.
Experimental Action and Supporting Evidence
Hypothesis
Based on the foregoing theory, henceforth identified as 'Theoria
Omnia' (TO), it may be experimentally possible to find physical
evidence of the relationship between the electric, magnetic and mass
charges which are a part of the mathematical evidence supporting TO.
Aim
To experimentally prove the existence of mass as a charge attached
to most matter, analogous to electric charge thought to be attached
to electrons, positrons and other particles.
Known
Related Science
Already established is the relationship between the fields of
scalar motion, electricity and magnetism demonstrated by the function
of the electric generator and electric motor, where one of the
degrees of freedom of mass ( t3/s3
) is opposed by space, (s), (which is also the unit of electric
quantity,) moving through mass or mass moving through space, both
ideas being mathematically identical. Electrical energy, (or t/s),
pushing electric quantity (s) through its conductor, generating
magnetic charge (t2/s2)
around the conductor, or the conductor pushing through magnetic
energy ( t2/s2),
generating electric energy, (t/s), within the conductor. The case is
motion of space through mass (or mass through space) ┴
magnetic charge ┴
electric charge.
On
careful analysis, there is not an equivalent scenario in the case of
mass charge (t3/s3)
without moving to the higher degrees of freedom numbers, which may
not occur within the 4th
dimension as far as is known, or within our realm of comprehension.
One cannot push mass charge through itself, so that comprehension
within the parameters of three space freedoms is not likely.
Hypothetical Experimental Design
One
method of proving the existence of mass as a charge, may be to induce
an observable variation in its current field, the gravitational
field, which can be measured using the effect of the gravitational
field on Earth, which is the measure of an object's weight. How to
establish a suitable experiment is another question, requiring more
consideration.
The following Appendices add mathematical
evidence supporting Theoria Omnia.
Table 3
Notes on Table 3
The
intersection of the dashed lines and the squares represent the
(space-time) points of the various known quantities. Their S-T units
can be read from the axes. The information is compatible with Table
1, but in a format which makes more sense of the axes layout of Table
1 from the viewpoint of an expanding universe, but is more difficult
to read. The concentric squares exhibit the relationship between
electrical (inner square), magnetic and mass relationships of the
Energy and Fields sectors, and their relevance to the Quarks and
Leptons in the Matter and Anti-matter sectors. The Gluons (pink) and
Neutrinos (v, 1/v) are outside the Mass square and generally accord
with the findings of the Standard Model of particle physics regarding
fundamental particles independent of mass charge. The origin of the
axes is not zero, but unity, which accords with the theory of the
singularity (1) from which the expansion of the universe commenced.
It is clear that less is known about the Field and Energy sectors
than is known about the Matter and Anti-matter sectors, as indicated
by the queries (?) on Table 3. The correlation in Table 3 between
previously unrelated phenomena provide a basis for new research
endeavours. For
example,
the quantities Qmag
and fmag
have the S-T units s2
and t-2
respectively and when multiplied equal magnetic current (field) s2/t2
. Frequency has not, to date, been seen as related to magnetic
fields. This may involve, therefore, the magnetic energy carrier the
photon, t2s4
and
t-2s-4
(photon = anti-photon). It may be that t2s4
is the space-time particle and t-2s-4
is the time-space wave form of the photon, which location and
velocity cannot be simultaneously measured (Heisenberg Uncertainty
Principle). Frequency in the electric realm was well researched and
understood by Nikola Tesla, but the parallel research in the magnetic
realm has not been done because of a deficit in understanding of the
relationship between the two phenomena. Table 3 assists in clarifying
that relationship.
It
can be seen from the S-T units that electro-magnetic radiation, or
light, can also be seen in more than the one freedom. As s/t is a
measure of electric field and also of light speed, so s2/t2
connects the magnetic field with light speed in two freedoms.
Similarly gravity with light in 3 freedoms. Gravity
is an electro-magneto-mass phenomenum.
Table 3 shows light on a z-axis, with time and space on the x and y
axes respectively. It is as yet not clear as to whether this is
correct, however it does distinguish between two dimensionally equal
phenomena such as electric field and light, which appear to be
physically different, as separated by orthogonality and perhaps
frequency.
Appendix 1
Supporting Evidence
The
Dimensions of Motion
From
a paper written by Dewey B. Larson
circa
1985, quote:
“Now
that the existence of scalar motion has been demonstrated (in
a prior article written by Larson),
it will be appropriate to examine the consequences of this
existence. Some of the most significant consequences are related to
the dimensions of this hitherto unrecognized type of motion. The
word “dimension” is used in several different senses, but in the
sense in which it is applied to space it signifies the number of
independent magnitudes that are required for a complete definition
of a spatial quantity. It is generally conceded that space is
three-dimensional. Thus three independent magnitudes are required
for a complete definition of a quantity of space. Throughout the
early years of science this was taken as an indication that the
universe is three-dimensional. Currently, the favored hypothesis is
that of a four-dimensional universe, in which the three dimensions
of space are joined to one dimension of time. Strangely enough,
there does not appear to have been any critical examination of the
question as to the number of dimensions of motion that are possible.
The scientific community has simply taken it for granted that the
limits applicable to motion coincide with those of the spatial
reference system. On reviewing this situation it can be seen that
this assumption is incorrect. The relation of any one of the three
space magnitudes to a quantity of time constitutes a scalar motion.
Thus three dimensions of scalar motion are possible.
But
only one dimension of motion can be accommodated within the
conventional spatial reference system. The result of any motion
within this reference system can be represented by a vector (a
one-dimensional expression), and the resultant of any number of such
motions can be represented by the vector sum (likewise
one-dimensional). Any motions that exist in the other two dimensions
cannot be represented.
[This Author uses the term 'degree of freedom' to distinguish scalar
motion from the other meanings of 'dimension']
Here
again we encounter a shortcoming of the reference system. In our
examination of the nature of
scalar
motion we saw that this type of motion cannot be represented in the
reference system in its true character. The magnitude and direction
attributed to such a motion in the context of the reference system
are not specifically defined, but are wholly dependent on the size
and position of the object whose location constitutes the reference
point. Now we find that there are motions which cannot be
represented in the reference system in any manner. It is therefore
evident that the system of spatial coordinates that we use in
conjunction with a clock as a system of reference for physical
activity gives us a severely limited, and in some respects
inaccurate, view of physical reality. In order to get the true
picture we need to examine the whole range of physical activity, not
merely that portion of the whole that the reference system is
capable of representing.
For
instance, gravitation has been identified as a scalar motion, and
there is no evidence that it is
subject
to any kind of a dimensional limitation other than that applying to
scalar motion, in general. We must therefore conclude that
gravitation can act three-dimensionally. Furthermore, it can be seen
that gravitation must act in all of the dimensions in which it can
act. This is a necessary consequence of the relation between
gravitation and mass. The magnitude of the gravitational force
exerted by a material particle or aggregate (a measure of its
gravitational motion) is determined by its mass. Thus mass is a
measure of the inherent negative scalar motion content of the
matter. It follows that motion of any mass m is a motion of a
negative scalar motion. To produce such a compound motion, a
positive scalar motion v (measured as speed or velocity) must be
applied to the mass. The resultant is “mv,” now called momentum,
but known earlier as “quantity of motion,” a term that more
clearly expresses the nature of the quantity. In the context of a
spatial reference system, the applied motion v has a direction, and
is thus a vector quantity, but the direction is imparted by the
coupling to the reference system and is not an inherent property of
the motion itself. This motion therefore retains its positive scalar
status irrespective of the vectorial direction.
In
the compound motion mv, the negative gravitational motion acts as a
resistance to the positive
motion
v. The gravitational motion must therefore take place in all three
of the available dimensions, as any one of the three may be parallel
to the dimension of the reference system, and there would be no
effective resistance in any vacant dimension. We
may therefore identify the gravitational motion as three-dimensional
speed, which we can express as s3/t3,
where s and t are space and time respectively.
The
mass (the resistance that this negative gravitational motion offers
to the applied positive motion) is then the inverse of this
quantity, or t3/s3.
Since
only one dimension of motion can be represented in three-dimensional
spatial coordinate system, the gravitational motion in the other two
dimensions has no directional effect, but its magnitude applies as a
modifier of the magnitude of the motion in the dimension of the
reference system.
We
now turn to a different kind of “dimension.” When physical
quantities are resolved into component quantities of a fundamental
nature, these component quantities are called dimensions. The
currently accepted systems of measurement express the dimensions of
mechanical quantities in terms of mass, length, and time, together
with the dimensions (in the first sense) of these quantities. But
now that mass has been identified as a motion, a relation between
space and time, all of the quantities of the mechanical system can
be expressed in terms of space and time only.
For purposes of the present discussion the word “space” will be
used instead of “length,” to avoid implying that there is a some
dimensional difference between space and time. On this basis the
“dimensions,” or “space-time dimensions” of one-dimensional
speed
are space divided by time,
or
s/t.
As indicated above, mass has the dimensions t3/s3.
The
product of mass and speed (or velocity) is t3/s3
× s/t =
t2/s2.
This is “quantity of motion,” or
momentum.
The product of mass
and the second power of speed is t3/s3×
s2/t2
=
t/s, which is energy. Acceleration,
the time rate of change of speed, is s/t × 1/t = s/t2.
Multiplying acceleration by mass, we obtain t3/s3
× s/t2
= t/s2,
which is force,
the “quantity of acceleration,” we might call it. The dimensions
of the other mechanical quantities are simply combinations of these
basic dimensions. Pressure,
for instance, is force divided by area, t/s2
× 1/s2
= t/s4.
When
reduced to space-time terms in accordance with the foregoing
identifications, all of the well-
established
mechanical relations are dimensionally consistent. To illustrate
this agreement, we may
consider
the relations applicable to angular motion, which take a different
form from those applying to translational motion, and utilize some
different physical quantities. The angular system introduces a
purely numerical quantity, the angle of rotation ς.
The time rate of change of this angle is the angular velocity ω,
which has the dimensions ω = ς/t
= 1/t. Force is applied in the form of torque, L, which is the
product of force and the radius, r. L = Fr = t/s2
× s = t/s. One other quantity entering into the angular relations
is the moment of inertia, symbol I, the product of the mass and the
second power of the radius. I = mr2
= t3/s3
× s2
= t3/s.
The following equations demonstrate the dimensional consistency
achieved by this identification of the space-time dimensions:
energy
(t/s) = L
ς
= t/s × 1 = t/s
energy
(t/s) = ½Iω2
= t3/s
× 1/t2=
t/s
power
(1/s) = Lω = t/s × 1/t = 1/s
torque
(t/s) = ½Iω2
= t3/s
× 1/t2=
t/s
The
only dimensional discrepancy in the basic equations of the
mechanical system is in the
gravitational
force equation, which is expressed as F = Gmm’/d2
, where G is the gravitational constant and d is the distance
between the interacting masses. Although this equation is correct
mathematically, it cannot qualify as a theoretically established
relation. As one physics textbook puts it, this equation “is not a
defining equation... and cannot be derived from defining equations.
It represents an observed relationship.” The reason for this
inability to arrive at a theoretical explanation of the equation
becomes apparent when we examine it from a dimensional standpoint.
The dimensions of force in general are those of the product of mass
and acceleration. It follows that these must also be the dimensions
of any specific force. For instance, the gravitational force acting
on an object in the earth’s gravitational field is the product of
the mass and the “acceleration due to gravity.” These same
dimensions must likewise apply to the gravitational force in
general. When we look at the gravitational equation in this light,
it becomes evident that the gravitational constant represents the
magnitude of the acceleration at unit values of m’ and d, and that
these quantities are dimensionless ratios. The dimensionally correct
expression of the gravitational equation is then
F
= ma, where the numerical value of “a” is Gm’/d2
.
The
space-time dimensions of the quantities involved in current
electricity can easily be identified in the same manner as those of
the mechanical system. Most of the measurement systems currently in
use add an electric quantity to the mass, length and time applicable
to the mechanical system, bringing the total number of independent
base quantities to four. However, the new information developed in
the foregoing paragraphs enables expressing the electrical
quantities of this class in terms of space and time only, in the
same manner as the mechanical quantities.
Electrical
energy (watt-hours)
is merely one form of energy in general, and therefore has the
energy dimensions, t/s.
Power
(watts) is energy divided by time, t/s × 1/t = 1/s.
Electrical force, or voltage
(volts) is equivalent to mechanical force, with the dimensions t/s2
. Electric current
(amperes) is power divided by voltage. I = 1/s × s2/t
= s/t.
Thus current is dimensionally equal to speed. Electrical
quantity(coulombs)
is current multiplied by time, and has the dimensions
Q
= I t = s/t × t = s.
Resistance
(ohms) is voltage divided by current, R = t/s2
× t/s = t2/s3.
This is the only one of the basic quantities involved in the
electric current phenomenon that has no counterpart in the
mechanical system. Its significance can be appreciated when it is
noted that the dimensions t2/s3
are those of mass per unit time.(1)
The
dimensions of other electrical quantities can be obtained by
combination, as noted in
connection
with the mechanical quantities. As can be seen from the foregoing,
the quantities involved in the current electricity are dimensionally
equivalent to those of the mechanical system.
We
could, I fact, describe the current phenomena as the mechanical
aspects of electricity. The only important difference is that
mechanics is largely concerned with the motion of individual units
or aggregates, while current electricity deals with continuous
phenomena in which the individual units are not separately
identified. The validity of the dimensional assignments in
electricity, and the identity of the electrical and mechanical
relations, can be verified by reducing the respective equations to
the space-time basis. For example, in mechanics the expression for
kinetic energy (or work) is W = ½ mv2
, the dimensions of which are t3/s3
x s2/t2
= t/s. The corresponding equation for the energy of the electric
current is W = I2Rt.
As mentioned above, the product Rt is equivalent to mass, while I,
the current, has the dimensions of speed, s/t. Thus, like the
kinetic energy, the electrical energy is the product of mass and the
second power of speed, W = I2Rt
= s2/t2
x t2/s3
x t = t/s. Another expression for mechanical energy is force times
distance, W = Fd = t/s2
x s = t/s. Similarly, relations of current electricity are likewise
dimensionally consistent, and equivalent to the corresponding
mechanical relations, when reduced to t3/s3
x 1/t = t2/s3
space-time terms.
Identification
of the space-time dimensions of electrostatic quantities, those
involving
electric
charge, is complicated by the fact that in present-day physical
thought electric charge is not distinguished from electrical
quantity. As we have seen, electric quantity is dimensionally
equivalent to space. On the other hand, we can deduce from the
points brought out in the preceding article that electric charge is
a one-dimensional analog of mass, and is therefore dimensionally
equivalent to energy. This can be verified by consideration of the
relations involving electric field intensity, symbol E. In terms of
charge, the electric field intensity is given by the expression
E
= Q/s2
. But the field intensity is defined as force per unit distance, and
its space-time dimensions are therefore t/s2
× 1/s = t/s3.
Applying these dimensions to the equation E = Q/s2
,
we obtain
Q
= Es2
= t/s3
× s2
= t/s.
As
long as the two different quantities that are called by the same
name are used separately, their
practical
application is not affected, but confusion is introduced into the
theoretical treatment of the
phenomena
that are involved. For instance in the relations involving
capacitance (symbol C),
Q
= t/s in the basic equation C = Q/V = t/s × s2/t
= s. The conclusion that capacitance is dimensionally equivalent to
space is confirmed observationally, as the capacitance can be
calculated from geometrical measurements. However, the usual form of
the corresponding energy equation is W = QV, reflecting the
definition of the volt as one joule per coulomb. In this equation, Q
= W/V = t/s × s2/t
= s. Because of the lack of distinction between the two usages of Q
the quantity CV, which is equal to Q in the equation C = Q/V is
freely substituted for Q in equations of the W = Q/V type, leading
to results such as W =C/V2,
which are dimensionally incorrect.
Such
findings emphasize the point that the ability to reduce all physical
relations to their space-time
dimensions
provides us with a powerful and effective tool for analyzing
physical phenomena. Its
usefulness
is clearly demonstrated when it is applied to an examination of
magnetism, which has been the least understood of the major areas of
physics. The currently accepted formulations of the various magnetic
relations are a mixture of correct and incorrect expressions, but by
using those that are most firmly based it is possible to identify
the space-time dimensions of the primary magnetic quantities.
This
information then enables correcting existing errors in the
statements of other relations, and
establishing
dimensional consistency over the full range of magnetic phenomena.
In
carrying out such a program we find that magnetism is a
two-dimensional analog of electricity. The effect of the added
dimension is to introduce a factor t/s into the expressions of the
relations applicable to the one-dimensional electric system. Thus
the magnetic analog of an electric charge, t/s, is a magnetic
charge, t2/s2.
The existence of such a charge is not recognized in present-day
magnetic theory, probably because there is no independent
magnetically-charged particle, but one of the methods of dealing
with permanent magnets makes use of the concept of the “magnetic
pole,” which is essentially the same thing. The unit pole strength
in the SI system, the measurement system now most commonly applied
to magnetism, is the weber, which is equivalent to a volt-second,
and therefore has the dimensions t/s2
× t = t2/s2.
The same units and dimensions apply to
magnetic
flux, a quantity that is currently used in most relations that
involve magnetic charge, as well as in other applications where flux
is the more appropriate term.Current ideas concerning magnetic
potential, or magnetic force, are in a state of confusion. Questions
as to the relation between electric potential and magnetic
potential, the difference, if any, between potential and force, and
the meaning of the distinctions that are drawn between various
magnetic quantities such as magnetic potential, magnetic vector
potential, magnetic scalar potential, and magnetomotive force, have
never received definitive answers. Now, however, by analyzing these
quantities into their space-time dimensions we are able to provide
the answers that have been lacking.
We
find that force and potential have the same dimensions, and are
therefore equivalent quantities. The term “potential” is
generally applied to a distributed force, a force field, and the use
of a special name in this context is probably justified, but is
should be kept in mind that a potential is a force.
On
the other hand, a magnetic potential (force) is not dimensionally
equivalent to an electrical potential (force), as it is subject to
the additional t/s factor that relates the two-dimensional magnetic
quantities to the one-dimensional electric quantities. From the
dimensions t/s2
of the electric potential, if follows that the correct dimensions of
the magnetic
potential
are t/s × t/s2
= t2/s3
. This agrees with the dimensions of magnetic vector potential. In
the SI system, the unit of this quantity is the weber per meter, or
t2/s2
×
1/s = t2/s3
. (The corresponding cgs unit is the gilbert, which also reduces to
t2/s3
).
The
same dimensions should apply to magneto motive force (MMF), and to
magnetic potential
where
this quantity is distinguished from vector potential. But an error
has been introduced into the
dimensions
attributed to these quantities because the accepted defining
relation is an empirical
expression
that is dimensionally incomplete. Experiments show that the
magnetomotive force can be calculated by means of the expression MMF
= nI, where n is the number of turns in a coil. Since n is
dimensionless, this equation indicates that MMF has the dimensions
of electric current. The unit has therefore been taken as the
ampere, dimensions s/t. From the discrepancy between these and the
correct dimensions we can deduce that the equation MMF
= nI, from which the ampere unit is derived, is lacking a quantity
with the dimensions t2/s3
× t/s =
t3/s4
.
There
is enough information available to make it evident that the missing
factor with these dimensions is the permeability, the magnetic
analog of electrical resistance. The permeability of most substances
is unity, and omitting has no effect on the numerical results of
most experimental measurements. This has led to overlooking it in
such relations as the one used in deriving the ampere unit for MMF.
When we put the permeability (symbol μ) into the empirical equation
it becomes MMF
= μnI, with the correct dimensions, t3/s4
× s/t = t2/s3.
The
error in the dimensions attributed to MMF carries over into the
potential gradient, the
magnetic
field intensity.
By definition, this is the magnetic field potential divided by
distance,
t2/s3
× 1/s = t2/s4
.
But
the unit in the SI system is the ampere
per meter,
the dimensions of which are s/t × 1/s = 1/t is incorrect.
In
this case, the cgs unit, the oersted, is derived from the
dimensionally correct unit of magnetic potential, and therefore has
the correct dimensions, t2/s4
.
The
discrepancies in the dimensions of MMF and magnetic field intensity
are typical of the confusion that exists in a number of magnetic
areas. Much progress has been made toward
clarifying
these situations in the past few decades, both active, and sometimes
acrimonious, controversies still persist with respect to such
quantities as magnetic moment and the two vectors usually designated
by the letters B and H. In most of these cases, including those
specifically mentioned, introduction of the permeability where it is
appropriate, or removing it where it is inappropriate, is all that
is necessary to clear up the confusion and attain dimensional
validity.
Correction
of the errors in electric and magnetic theory that have been
discussed in the foregoing
paragraphs,
together with clarification of physical relations in other areas of
confusion, enables
expressing
all electric and magnetic quantities and relations in terms of space
and time, thus completing the consolidation of all of the various
systems of measurement into one comprehensive and consistent system.
An achievement of this kind is, of course, self-verifying, as the
possibility that there might be more than one consistent system of
dimensional assignments that agree with observations over the entire
field of physical activity is negligible.
But
straightening out the system of measurement is only a small part of
what has been accomplished in this development. More importantly,
the
positive identification of the space-time dimensions of any physical
quantity defines the basic physical nature of that quantity.
Consequently, any hypothesis with respect to a physical process in
which this quantity participates must agree with the dimensional
definition. The effect of this constraint on theory construction is
illustrated by the findings with respect to the nature of current
electricity that were mentioned earlier. Present-day
theory views the electric current as a flow of electric charges. But
the dimensional analysis shows that charge has the dimensions t/s,
whereas the moving entity in the current flow has the dimensions of
space, s.
It follows that the current
is not a flow of electric charges.
Furthermore, the identification of the space-time dimensions of the
moving entity not only tells us what the current is not, but goes on
to reveal just what it is. According to present-day theory, the
carriers of the charges, which are identified as electrons, move
through the spaces between the atoms. The finding that the moving
entities have the dimensions of space makes this kind of a flow
pattern impossible. An
entity with the dimensions of space cannot move through space, as
the relation of space to space is not motion.
Such
an entity must move through the matter itself, not through the
vacant spaces.
This explains why the current is confined within the conductor, even
if the conductor is bare. If the carriers of the current were able
to move forward through vacant spaces between atoms, they should
likewise be able to move laterally through similar spaces, and
escape from the conductor. But since the current moves through the
matter, the confinement is a necessary consequence. The
electric current is a movement of space through matter, a motion
that is equivalent, in all but direction, to movement of matter
through space.
This is a concept that many individuals will find hard to accept.
But it should be realized that the moving entities are not
quantities of the space with which we are familiar, extension space,
we may call it. There are physical quantities that are dimensionally
equivalent to this space of our ordinary experience, and play the
same role in physical activity. One of them, capacitance, has
already been mentioned in the preceding discussion. The moving
entities are quantities of this kind, not quantities of extension
space.
Here,
then, is the explanation of the fact that the basic quantities and
relations of the electric current
phenomena
are identical with those of the mechanical system. The
movement of space through matter is essentially equivalent to the
movement of matter through space, and is described by the same
mathematical expressions. Additionally,
the identification of the electric charge as a motion explains the
association between charges and certain current phenomena that has
been accepted as evidence in favor of the “moving charge” theory
of the electric current. One
observation that has had considerable influence on scientific
thought is that an electron moving in open space has the same
magnetic properties as an electric current. But we can now see that
the observed electron is not merely a charge. It is a particle with
an added motion that constitutes the charge. The carrier of the
electric current is the same particle without the charge. A charge
that is stationary in the reference system has electrostatic
properties. An uncharged electron
in
motion within a conductor has magnetic properties. A charged
electron moving in a conductor or in a gravitational field has both
magnetic and electrostatic properties.
It
is the motion of physical entities with the dimensions of space that
produces the magnetic effect.
Whether
or not these entities—electrons or their equivalent—are charged
is irrelevant from this
standpoint.
Another observed phenomenon that has contributed to the acceptance
of the “moving charge” theory is the emission of charged
electrons from current-carrying conductors under certain conditions.
The argument in this instance is that if charged electrons come out
of
a
conductor there must have been charged electrons in the conductor.
The answer to this is that the kind of motion which constitutes the
charge is easily imparted to a particle or atom (as anyone who
handles one of the modern synthetic fabrics can testify), and this
motion is imparted to the electrons in the process of ejection from
the conductor. Since the uncharged particle cannot move through
space, the acquisition of a charge is one of the requirements for
escape.
In
addition to providing these alternative explanations for aspects of
the electric current phenomena
that
are consistent with the “moving charge” theory, the new theory
of the current that emerges from
the
scalar motion study also accounts for a number of features of the
current flow that are difficult to reconcile with the conventional
theory. But the validity of the new theory does not rest on a
summation of its accomplishments. The conclusive point is that the
identification of the electric current as a motion of space through
matter is confirmed by agreement with the dimensions of the
participating entities, dimensions that are verified by every
physical relation in which the electric current is involved. The
proof of validity can be carried even farther. It is possible to put
the whole development of thought in this and the preceding article
to a conclusive test. We
have found that mass is a three-dimensional scalar motion, and that
electric current is a one-dimensional scalar motion through a mass
by entities that have the dimensions of space. We have further found
that magnetism is a two-dimensional analog of electricity. If
these findings are valid, certain consequences necessarily follow
that are extremely difficult, perhaps impossible, to explain in any
other way. The one-dimensional, oppositely directed flow of the
current through the three-dimensional scalar motion of matter
neutralizes a portion of the motion in one of the three dimensions,
and should leave an observable two-dimensional (magnetic) residue.
Similarly, movement of a two-dimensional (magnetic) entity through a
mass, or the equivalent
of
such a motion, should leave a one-dimensional (electric) residue.
In as much as these are direct and specific requirements of the
theory outlined in the foregoing paragraphs, and are not called for
by any other physical theory, their presence or absence is a
definitive test of the validity of the theory. The
observations give us an unequivocal answer. The current flow
produces a magnetic effect, and this effect is perpendicular to the
direction of the current, just as it must be if it is the residue of
a three-dimensional motion that remains after motion in the one
dimension of the current flow is neutralized.
This
perpendicular direction of the magnetic effect of the current is a
total mystery to present-day
physical
science, which has no explanation for either the origin of the
effect or its direction. But both the origin and the direction are
obvious and necessary consequences of our findings with respect to
the nature of mass and the electric current. There is no independent
magnetic particle similar to the carrier of the electric current,
and no two-dimensional motion of space through matter analogous to
the one-dimensional motion of the current is possible, but the same
effect can be produced by mechanical movement of mass through a
magnetic field, or an equivalent process. As the theory requires,
the one-dimensional residue of such motion is observed to be an
electric current. This process is electromagnetic induction. The
magnetic effect of the current is
electromagnetism.
On
first consideration it might seem that the magnitude of the
electromagnetic effect is far out of
proportion
to the amount of gravitational motion that is neutralized by the
current. However, this is a result of the large numerical constant,
3 × 1010
in
cgs units (represented by the symbol c), that applies to the
space-time ratio s/t where conversion from an n-dimensional quantity
to an m-
dimensional
quantity takes place. An example that, by this time is familiar to
all, E=mc2,
is the conversion of mass (t3/s3)
to energy (t/s). In that process, where the relation is between a
three-dimensional quantity and a one-dimensional quantity, the
numerical factor is c2.
In the relation between the three-dimensional mass andthe
two-dimensional magnetic residue the numerical factor is c, less
than c2
but
still a very large number.
Thus,
the theory of the electric current developed in the foregoing
discussion passes the test of validity in a definite and positive
manner. The results that it requires are in full agreement with two
observed physical phenomena of a significant nature that are wholly
unexplained in present-day physical thought. Together with the
positively established validity of the corresponding system of
space-time dimensions, this test provides a verification of the
entire theoretical development described in this article, a proof
that meets the most rigid scientific standard.
Author's
Comment on the above Evidence for S-T units by D.B.Larson.
Larson's
presentation of the evidence for the accuracy of the equivalence and
proscriptive power of S-T units in physics cannot be seriously
doubted. The mathematics leave little scope for doubt. The
leap forward from Larson's work by Theoria Omnia (TO) theory is the
realization that mass
is a charge
and its current field, gravity,
are the exact higher dimensional analogue of electric charge and the
electric current, and magnetic charge and the magnetic current.
All three fields caused by their currents behave in a similar
manner, as their strength per unit volume decreases (as
indicated by the s/t mathematics previously discussed under Time
(5) above)
the volume throughout which they have an effect increases.
Similarly, their charges are all analogues of space (s, s2,
s3).
Additionally, the forces they generate all decrease as 1/r2.
Appendix
2
Supporting
Evidence
Space-Time
Units
and known SI unit equivalence
(From a previous paper written by M.J.Bull)
MECHANICAL
Space-Time
Units
Speed
(distance [1
freedom of space]
divided
by time) [speed is not vectorial] s
/ t
Momentum
( mass x speed, t3/s3
x
s/t = t2/s2
)
a 2 freedom quantity t2
/ s2
Energy
( ½ mv2,
mass x speed x speed, t3/s3
x
s/t x s/t = t/s ) t
/ s
Acceleration
( speed divided by time, s/t x 1/t = s/t2
)
s
/ t2
Force
( mass x acceleration, t3/s3
x
s/t2
=
t/s2
)
t
/ s2
Pressure
( force divided by area, t/s2
x
1/s2
=
t/s4
)
t
/ s4
ELECTRICAL
[Electrical
energy equates to Mechanical energy, a one freedom (s) energy.]
Electrical
energy (watt.hours)
t
/ s
Electrical
charge (a one freedom unit of space
≡
distance)
s
Power
(watt) ( energy / time, t/s x 1/t = 1/s) [a unit of space
and not time] 1
/ s
Voltage
(volt) ( electrical force ) [ equivalent to force] emf
t
/ s2
Electric
field (amp) ( electric current ) [equivalent to speed]
s
/ t
Resistance
(ohm) (voltage/current t/s2
x
t/s = t2/s3)[no
mechnical equivalent] t2
/ s3
MAGNETIC
[Magnetism
is a two freedom (s2)
analogue of Electricity]
Magnetic
charge (a two freedom unit of space ≡
area)
s2
Magnetic
Potential (magnetic potential = force x 1 freedom t/s2
x
t/s = t2/s3)
mmf t2
/ s3
Magnetic
Field Intensity (t2/s3
x
1/s)
t2
/ s4
Magnetic
Permeability (μ)
t3
/ s4
Magnetic field (current) (s2/t2)
s2
/ t2
MASS
[Mass
is a three freedom (s3)
analogue of Electricity]
Mass
energy [t/s x t/s x t/s]
t3
/ s3
Mass
charge ( a three freedom unit of space ≡
volume)
s3
Gravitational
field (mass field, mass current) (a 3 freedom speed, s/t x s/t x s/t)
s3
/
t3
Newtonian
Equations expressed using Acceleration units as N/kg instead of m/s2
An alternative unit
of measure for acceleration also offers another set of Newtonian
equations. They represent an alternative approach to calculating
quantities seen in Newtonian physics.
For example, given
the alternative measures for acceleration N
kg
-1
= ms-2,
then s-2
= N kg-1
m-1,
therefore s2
= kg m N
-1
and s = √
(kg.m / N) which in English says that time equals the square root of
(mass times length divided by force).
Symbols
used are F = force, m = mass, a = acceleration, ί
(iota)
= inertia, t = time, v = velocity, r = length, M = momentum, n =
dimension number, c = the speed of light, g = gravity field, E =
mass-energy and k denotes a constant. Symbols in SI units are force
(N) newtons, mass (kg) kilograms, time (s) seconds, length (m)
metres. Symbols in S-T units are s = space, t = time.
Quantity
Equation
SI
Unit
Space-Time
Unit
(derived
from these equations)
Time
t
= √
( m r / F )
( kg m / N )½
t
Acceleration
a = F / m
( N / kg) s/t2
Velocity
v
= Ft /m
( N s / kg) s/t
Length
r
= Ft 2
/ m
( N s2
/ kg) s
Mass
m
= F t 2
/ r
( N s2
/ m ) t3/s3
Force
F
= m r / t 2
( kg m / s2
) t/s2
Momentum
M
= F 2
t 3
/ m r
( N2
s3
/ kg m ) t2/s2
Space-Time
Units show complete consistency in these modified Newtonian
Equations, indicating that both the modified Newtonian Equations and
the Space-Time Units are correct and consistent, as predicted.
It
also verifies that the space-time unit for mass, t3/s3
is correct.
This is
key evidence supporting the interpretation of Mass and Gravity by
Theoria Omnia.
Summation
of Effects of the Theoria Omnia Model and of Human Nature
The
most immediate effect of this paper is to correct the misconception
of the place and nature of the Gravity field within physics, an
unresolved problem for more than three centuries. The distinguishing
of the difference between Gravity and Acceleration, and Mass and
Matter allows a clearer interpretation of some of the apparently
inexplicable riddles which theoretical physics has faced in a number
of areas of endeavour, particularly in the interpretation of the
cosmos. The proposition that Mass is a charge and not solid matter is
perhaps the most difficult concept for mainstream science to accept,
but it does provide the missing paradigm in the 350 year search for
an explanation of Gravity. The complexity which has attended the
conceptual misunderstanding is immense, and has lead science down
many dead ends. The acceptance of this new paradigm opens the way for
targeted theoretical and practical advances in science. If the answer
(after 350 years) is not within the square, it perhaps may make sense
to look outside the square. Human nature is a large inertia when
applied to new thought, as Einstein learned a century ago. Einstein
himself proved to be an inertia for Quantum Physics.
In
the longer term, the more valuable contribution to physics and other
disciplines of science that this paper makes is the illumination of
that which is not known, and its relationship to what is known.
It
allows the re-direction of available resources toward the areas of
knowledge deficit, with some concept of the benefits which may follow
from enlightenment in those areas, and of the direction needed for
research to solve specific problems to achieve specific aims.
As
a philosophical observation, the division of knowledge into narrow
specialities along with the separation of thought from action may be
a modern indicator of a decline in scientific and intellectual
effectiveness when compared with recent and previous centuries of
scientific endeavour. The human nature factors which inhibit
scientific progress are probably no different to earlier centuries,
except for the influences attributable to modern funding systems for
research, and a more competitive 'win even at the expense of science'
attitude reflects a departure from the precepts of scientific method.
An elitist label given to new ideas as 'pseudo-science' is unhelpful
and a part of the aforementioned attitude, contributing to a
metaphorical constipation of scientific thought. This is evidence
'maxima' in the 350 year drought in new thought in the case of
Gravity.